466331040 has 288 divisors, whose sum is σ = 1899495360. Its totient is φ = 106541568.

The previous prime is 466331027. The next prime is 466331051. The reversal of 466331040 is 40133664.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 466330995 and 466331013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210579 + ... + 212781.

It is an arithmetic number, because the mean of its divisors is an integer number (6595470).

Almost surely, 2^466331040 is an apocalyptic number.

466331040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949747680).

466331040 is an abundant number, since it is smaller than the sum of its proper divisors (1433164320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466331040 is a wasteful number, since it uses less digits than its factorization.

466331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 466331040 is about 21594.6993496089. The cubic root of 466331040 is about 775.4695953869.

The spelling of 466331040 in words is "four hundred sixty-six million, three hundred thirty-one thousand, forty".